English

Topological enumeration of complex polynomial vector fields

Dynamical Systems 2013-07-16 v1 Combinatorics

Abstract

The enumeration of combinatorial classes of the complex polynomial vector fields in C presented in [Dia13] is extended here to a closed form enumeration of combinatorial classes for degree d polynomial vector fields up to rotations of 2(d-1)st roots of unity. The main tool in the proof of this result is based on a general method of enumeration developed by V.A.Liskovets [Lis98].

Keywords

Cite

@article{arxiv.1307.3850,
  title  = {Topological enumeration of complex polynomial vector fields},
  author = {Jérôme Tomasini},
  journal= {arXiv preprint arXiv:1307.3850},
  year   = {2013}
}
R2 v1 2026-06-22T00:51:22.338Z